Download Name: TP: ______ Failure to show all work (mark up all diagrams

HW#96: Area of Sector & Revolutions
Geometry FORM A
Due Date: Thursday, April 25th, 2013
Name: __________________________________ TP: ______
Failure to show all work (mark up all diagrams and write out needed formulas) and/or write in complete
sentences will result in LaSalle.
1) A watermelon is cut into a series of round pieces.
One piece measures 5 inches in diameter. When
this round piece is cut into slices at equal angles
through the center of the circle, there are 9 slices.
What is the approximate length of the ring on the
outer edge of one slice?
2) The minute hand and the hour hands on a clock
originate at the center of the clock and reach to the
outer edge of the clock. The diameter of the clock
is 24 inches. When it is 3:00 pm, what is the length
of the arc created by the minute hand and the hour
hand?
d = 24
r = ______
We want to find a FRACTION of the CIRCLE that each
slice takes up:
We want to find a FRACTION of the CIRCLE that each
slice takes up:
1. 3600 is divided into 9 slices. How many degrees does
each slice get?
1. How many slices will the 3600 be divided into?
2. What FRACTION of the degrees is each slice?
3. Find the circumference of the CIRCLE.
4. Find the FRACTION of (multiply) the CIRCLE.
2. What FRACTION of the degrees is the 3:00 slice?
3. Find the circumference of the CIRCLE.
4. Find the FRACTION of (multiply) the CIRCLE.
3) a. Find the arc length of the circle below
4) a. Find the arc length of the circle below
b. Find area of sector
b. Find area of sector
We want to find a FRACTION of the CIRCLE that each
slice takes up:
We want to find a FRACTION of the CIRCLE that each
slice takes up:
1. What FRACTION of the degrees is the highlighted
slice?
1.
2. Find the circumference of the CIRCLE.
2. Find the circumference of the CIRCLE.
3. Find the FRACTION of (multiply) the CIRCLE.
3. Find the FRACTION of (multiply) the CIRCLE.
What FRACTION of the degrees is the highlighted
slice?
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5) A child’s bicycle wheel completes exactly three
revolutions when it travels 150 cm. The wheel has a
decoration on it that covers exactly half of the area of the
wheel. What is the area of the decoration? Leave your answer
in terms of pi.
6) Another child who sees the decoration wants to put a
handmade decoration on her bike as well. Her bike completes
exactly four revolutions when it travels 60 inches. How
much paper does she need to use for her decoration? Leave
your answer in terms of pi.
Each revolution = 1 circumference
4 revolutions = 60 cm
1 revolution = ____ cm
C=
Each revolution = 1 circumference
3 revolutions = 150 cm
1 revolution = ____ cm
C=
1.
2.
3.
4.
Use steps above and then solve for diameter
Use diameter to find ‘radius’
Use radius to find ‘area’
Find half of the area
7) In the figure below, AB and CD intersect at
point R. AD || CB , and the angle measures are as
marked. Find mB
1. Use steps above and then solve for diameter
2. Use diameter to find ‘radius’
3. Use radius to find ‘area’
4. Find half of the area
8) At Boston Market, cashiers earn a total of $900
each week. If 18% of their pay is withheld for
taxes, insurance, and other deductions, what is the
take-home pay of each employee?
A
62 
D
R
Employees START with $900 and then 18% OF $900
gets TAKEN AWAY.
C
48 
B
Translate the above sentence into an equation and solve.
Remember:
 Alternate Interior Angles
 Vertical Angles
 All triangles have ________ degrees
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9) Find the slope of the line that goes through the 10) The Anderson family was planning on taking a
points (5, -2) and (-6, 1).
road trip from Los Angeles, CA to Las Vegas, NV,
which is 160 miles. Instead they decide to go to
rise y 2  y1
Sacramento, CA which is 250 miles from Las
slope  m 

Angeles. On a map, each inch is equal to 40 miles.
run x 2  x1
On the map, how much longer is the trip to
Sacramento than the trip to Las Vegas, in inches?

Trip to Vegas:
1in
x

40mi 160mi
Trip to Sacramento:
1in
x

40mi 250


x = _______
x = _______
What is the difference between the trips? _____________
11) In the standard (x, y) coordinate plane, a
certain line is represented by the equation 4x8y= -6. At what point will the line cross the xaxis?
12) For the figure below, the lengths of the sides are
measured in meters and their lengths are shown on
the figure. Find the perimeter of the figure.
1. rearrange to y = mx + b form
2. Plug slope, x, and y-values into
a new equation and solve for
‘b’
3. Re-write equation with slope
and ‘b’
13) Simplify:
14) A square has an area of 289m2. What is the
length of the diagonal of the square?
33  9
64  (2  6) 2
Remember:
Simplify the TOP and then the BOTTOM and then
Simplify the fraction
Area =
289 =
S=
Use the Pythagorean Theorem to find the length of the
diagonal.
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HW#97: Ratios and Scale Conversions
Geometry FORM A
Due Date: Friday, April 26th, 2013
Name: _______________________________ TP: ______
Failure to show all work (mark up all diagrams and write out needed formulas) and/or write in complete
sentences will result in LaSalle.
1) A model airplane is 15 centimeters long. In
actuality, the plane is 200 meters long.
a. What is the scale factor of the model to the
actual airplane? (15 times what number gives you
2) In a photograph, Dennis is 3.5 inches tall, and his
sister Emily is 2.5 inches tall. Dan’s actual height is
90 inches. What is Emily’s actual height?
Dan Emily
picture 3.5 2.5


actual
90
x
200?)
b. What is the scale factor of the actual airplane to
the model? (200 times what fraction will give you

15?)
4) The floor plan of a house is drawn to scale such that .75 inches is equal to 3 feet. The bathroom on
this floor plan is 5.25 inches long and 10 inches wide. What is the actual size of the bathroom?
Length
inches 0.75 5.25
:

feet
3
x
Width
inches 0.75 10
:

feet
3
x

5) The Jordan family was planning on taking a road
trip from Chicago to New York City, which is 750
miles. Instead, they decided to go to Minneapolis,
MN, which is 540 miles from Chicago. On a certain
map, each inch equals 70 miles.
a. In miles, how much further (subtract!) is the
trip to New York than Minneapolis for the
Jordan’s?
b. On that map (inches!), how much longer is the
trip to New York than Minneapolis?
Convert the miles to inches:
inches 1
x
:

miles 70

6) Jessica is going to cover her patio with bricks
and she plans to put the bricks next to each other
so there is no space in between them. The bricks
are rectangular prisms that measure 1 inch tall by
4 inches wide by 5 inches long. If Jessica’s patio is
a rectangle that measures 6 feet by 5 feet, what is
the minimum number of bricks that she will need
to fully cover her porch? (Remember! There are 12
inches in 1 foot)
Area of Patio:
Area of 1 brick’s face:
Area of Patio x 12 =__________ inches.
How many bricks does it take to cover the patio?
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7) A balcony is 5 feet by 6 feet. What is the area of
the balcony in inches? (Remember! There are 12
inches in 1 foot)
Area of balcony in feet:
Area of balcony x 12 = _____________ inches
8) On a map, 3 centimeters is equal to 300 miles.
If City A is 750 miles away from City B, how many
centimeters apart will they be on the map?
cm
3
x


mi 300 750

What is the sine of  in the right triangle shown
below?
Soh Cah Toa
7
24
Triangle ABC lies in the standard( x, y) coordinate
plane, with points A(-8, 2), B(5, 5), and C(-2, -9).
The triangle is translated five units to the right
creating triangle DEF. Then the triangle is
reflected across the x-axis creating triangle GHI.
What are the coordinates of point G?
1. Use the Pythagorean Theorem to find the hypotenuse
2. Find Sine
In the figure below, AB and CD intersect at point R.
AD || CB , and the angle measures are as marked.
Find mA.
A
C
R
32 

62
B
D
At Boston Market, cashiers earn a total of $290
each week. If 12% of their pay is withheld for
taxes, insurance, and other deductions, what is the
take-home pay of each employee?
Employees START with $290 and then 12% OF $290
gets TAKEN AWAY.
Translate the above into an equation
Remember that all triangles have ______ degrees.
PUSH IT TO THE LIMIT.
Find the slope of the line that goes through the
points (8, -2) and (-7, -3).
rise y 2  y1
slope  m 

run x 2  x1


The Anderson family was planning on taking a
road trip from Los Angeles, CA to Las Vegas, NV,
which is 210 miles. Instead they decide to go to
Sacramento, CA which is 260 miles from Las
Angeles. On a map, each inch is equal to 45
miles. On the map, how much longer is the trip
to Sacramento than the trip to Las Vegas, in
inches?
Trip to Vegas:
Trip to Sacramento:
1in
x
1in
x


45mi 210mi
45mi 260
x = _______

x = _______
What is the difference between the trips? _____________
In the standard (x, y) coordinate plane, a certain line For the figure below, the lengths of the sides are
is represented by the equation 8x-3y= 4. At what
measured in meters and their lengths are shown
point will the line cross the x-axis?
on the figure. Find the perimeter of the figure.
4. rearrange to y = mx + b form
5. Plug slope, x, and y-values into a
new equation and solve for ‘b’
6. Re-write equation with slope and ‘b’
Find the length of ALL sides and ADD them!
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HW#98: PLAN it UP #1
Geometry FORM A
Due Date: Monday, April 29th, 2013
Name: _______________________________ TP: ______
Failure to show all work (mark up all diagrams and write out needed formulas) and/or write in complete
sentences will result in LaSalle.
1)
2)
d = _______
Midpoint:
r = _______ t = ?
x 2  x1 y 2  y1
,
2
2
Midpoint of AC:
Midpoint of DB:

3)
3b) Explain how you know your answer is correct
for #3. What was your reasoning?
4) The area of a square is 36 in2. What is its
perimeter?
5) The circumference of a circle is 256π m.
What is its area?
A = S2 P = 4S
C = 2πr
256π = 2πr
r = _____
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A = πr2
6)
6b) Explain how you know your answer is correct
for #6. What was your reasoning?
A square has an area of 196 m2. What is the
length of the diagonal of the square?
23  6
Simplify:
81  (2  7) 2
A = S2
What is the cosine of  in the right triangle
shown below?
40

a2 + b2 = c2
Triangle ABC lies in the standard( x, y) coordinate
plane, with points A(-2, 3), B(-3, -5), and C(1, -8).
The triangle is translated six units to the right
creating triangle DEF. Then the triangle is
reflected across the x-axis creating triangle GHI.
What are the coordinates of point G?
9
1. Find the hypotenuse
2. Find the cosine
In the figure below, AB and CD intersect at point
R. AD || CB , and the angle measures are as
marked. Find mB
A
C
22 
R
At Boston Market, cashiers earn a total of $320
each week. If 11% of their pay is withheld
(subtract!) for taxes, insurance, and other
deductions, what is the take-home pay of each
employee?
320 – (11% OF 320)
36 
PUSH IT TO THE LIMIT.
Find the slope of the line that goes through the
points (5, -8) and (2, 7).
The Anderson family was planning on taking a
road trip from Los Angeles, CA to Las Vegas, NV,
which is 180 miles. Instead they decide to go to
Sacramento, CA which is 240 miles from Las
Angeles. On a map, each inch is equal to 70
miles. On the map, how much longer (subtract!)
is the trip to Sacramento than the trip to Las
Vegas, in inches?
How many more miles is the trip?
Convert miles to inches:
PUSH IT TO THE LIMIT.